Solve 8x^2 10x-3 - ScanMath

Question

Simplify the expression

80 x^{3} - 3

Evaluate

8 x^{2} \times 10 x - 3

Solution

More Steps

Evaluate

8 x^{2} \times 10 x

Multiply the terms

80 x^{2} \times x

Multiply the terms with the same base by adding their exponents

80 x^{2 + 1}

Add the numbers

80 x^{3}

80 x^{3} - 3

Show Solution

x = \frac{3 300}{20}

Alternative Form

x \approx 0.334716

Evaluate

8 x^{2} \times 10 x - 3

To find the roots of the expression,set the expression equal to 0

8 x^{2} \times 10 x - 3 = 0

Multiply

More Steps

Multiply the terms

8 x^{2} \times 10 x

Multiply the terms

80 x^{2} \times x

Multiply the terms with the same base by adding their exponents

80 x^{2 + 1}

Add the numbers

80 x^{3}

80 x^{3} - 3 = 0

Move the constant to the right-hand side and change its sign

80 x^{3} = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

80 x^{3} = 3

Divide both sides

\frac{80 x ^{3}}{80} = \frac{3}{80}

Divide the numbers

x^{3} = \frac{3}{80}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{3}{80}

Calculate

x = 3 \frac{3}{80}

Solution

More Steps

Evaluate

3 \frac{3}{80}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 3}{3 80}

Simplify the radical expression

More Steps

Evaluate

380

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 10

Write the number in exponential form with the base of 2

3 2^{3} \times 10

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 310

Reduce the index of the radical and exponent with 3

2310

\frac{3 3}{2 3 10}

Multiply by the Conjugate

\frac{3 3 \times 3 1 0 ^{2}}{2 3 10 \times 3 1 0 ^{2}}

Simplify

\frac{3 3 \times 3 100}{2 3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3100

The product of roots with the same index is equal to the root of the product

3 3 \times 100

Calculate the product

3300

\frac{3 300}{2 3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

2310 \times 3 1 0^{2}

Multiply the terms

2 \times 10

Multiply the terms

20

\frac{3 300}{20}

x = \frac{3 300}{20}

Alternative Form

x \approx 0.334716

Show Solution